50b=450/b

Solution for 50b=450/b equation:

50b=450/b

We move all terms to the left:

50b-(450/b)=0


Domain of the equation: b)!=0

b!=0/1

b!=0

b∈R


We add all the numbers together, and all the variables

50b-(+450/b)=0

We get rid of parentheses

50b-450/b=0

We multiply all the terms by the denominator


50b*b-450=0

Wy multiply elements

50b^2-450=0

a = 50; b = 0; c = -450;
Δ = b2-4ac
Δ = 02-4·50·(-450)
Δ = 90000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{90000}=300$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-300}{2*50}=\frac{-300}{100}
=-3
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+300}{2*50}=\frac{300}{100}
=3
$